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Question

Mathematics Question on permutations and combinations

What is the value of nCn^nC_n ?

A

0

B

\infty

C

r

D

1

Answer

1

Explanation

Solution

nCn=n!n!(nn)!=n!n!0!^{n}C_{n} = \frac{n!}{n!\left(n-n\right)!} = \frac{n!}{n! 0!} =n!n!=1= \frac{n!}{n!} = 1